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QUESTION IMAGE

simplify. (5y - 3) - (4y² - 7y - 3)

Question

simplify.
(5y - 3) - (4y² - 7y - 3)

Explanation:

Step1: Distribute the negative sign

$5y - 3 - 4y^2 + 7y + 3$

Step2: Combine like terms (constants)

$5y - 4y^2 + 7y + (-3 + 3)$
$5y - 4y^2 + 7y$

Step3: Combine like terms (y-terms)

$-4y^2 + (5y + 7y)$
$-4y^2 + 12y$

Answer:

$-4y^2 + 12y$